{"product_id":"a-structuralist-theory-of-logic-paperback-9780521023726","title":"A Structuralist Theory of Logic (Paperback \/ softback) 9780521023726","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Structuralist Theory of Logic\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIn this 2001 book, Professor Koslow advances a new account of the basic concepts of logic.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eArnold Koslow (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521023726, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 17 November 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e436 pages, 15 b\/w illus.\u003cbr\u003e20.3 x 15.7 x 3 cm, 0.665 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"Koslow's theory permits us to identify logical operators independent of their form in both logical systems and in natural languages. For linguists, his theory opens up the possibility of an entirely new approach to the study of natural-language semantics, one which does not require the postulation of a level of logical form.\"   D. Terence Langendoen, University of Arizona\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIn this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual, are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Part I. Background: 1. Introduciton\u003cbr\u003e 2. The program and its roots\u003cbr\u003e 3. Introduction and elimination conditions in a general setting\u003cbr\u003e 4. The Belnap program\u003cbr\u003e Part II. Implication Relations: 5. The theory of implication relations\u003cbr\u003e 6. Implications: variations and emendations\u003cbr\u003e 7. Familiar implication relations: deducibility and logical consequence\u003cbr\u003e 8. Implication relations: direct and derived\u003cbr\u003e 9. Implications from implications\u003cbr\u003e 10. Implication relations and the a priori: a further condition?\u003cbr\u003e Part III. The Logical Operators: 11. Hypotheticals\u003cbr\u003e 12. Negations\u003cbr\u003e 13. Conjunctions\u003cbr\u003e 14. The disjunction operator\u003cbr\u003e 15. The logical operators parameterized\u003cbr\u003e 16. Further features of the operators\u003cbr\u003e 17. The dual of negation: classical and nonclassical implication structures\u003cbr\u003e 18. The distinctness and relative power of the logical operators\u003cbr\u003e 19. Extensionality\u003cbr\u003e 20. Quantification\u003cbr\u003e 21. Identity\u003cbr\u003e 22. Special structures I. logical operators on individuals: mereology reconstituted\u003cbr\u003e 23. Special structures II. interrogatives and implication relations\u003cbr\u003e 24. Completeness\u003cbr\u003e Part IV. The Modal Operators: 25. Introduction\u003cbr\u003e 26. Modality\u003cbr\u003e 27. Modals: existence and nonextensionality\u003cbr\u003e 28. Special modals\u003cbr\u003e 29. The possibility of necessity-style modals\u003cbr\u003e 30. Modals revisited I\u003cbr\u003e 31. Quantification and modality\u003cbr\u003e 32. Modals revisited II\u003cbr\u003e 33. Knowledge, truth, and modality\u003cbr\u003e 34. The comparative strength of modals\u003cbr\u003e 35. Kripke-style systematization of the modals without possible worlds\u003cbr\u003e 36. Model functions, accessibility relations, and theories\u003cbr\u003e 37. Migrant modals\u003cbr\u003e Appendix\u003cbr\u003e Notes\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy: logic [\u003ca title=\"See our other books on Philosophy: logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy:%20logic%20%5BHPL%5D%22\"\u003eHPL\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006169764120,"sku":"9780521023726","price":64.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521023726i.jpg?v=1694963637","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-structuralist-theory-of-logic-paperback-9780521023726","provider":"Freshly Printed Books","version":"1.0","type":"link"}